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What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
What is the cofunction identity of cos t?
The cofunction identity for cosine states that the cosine of an angle is equal to the sine of its complement. Specifically, this can be expressed as (\cos(t) = \sin\left(\frac{\pi}{2} - t\right)) in radians or (\cos(t) = \sin(90^\circ - t)) in degrees. This relationship highlights the complementary nature of the sine and cosine functions.
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
What are the measure of the angles in quadrant 1?
The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.
How do you express complementary angles into a trigonometric function?
The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.
Why are cosines positive and negative?
Because the cosine of some angles is positive and the cosine of some other angles is negative.
Two angles measuring 90 degrees are complementary?
Yes, if the sum of two acute angles is 90° they are said to be complementary. This is commonly seen with the two other angles in a right angled triangle. This property leads to the sine of an angle equalling the cosine of its complement, and the tangent of an angle equalling the cotangent of its complement. e.g. sin 26° = cos 64° : tan 37° = cot 53°
What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
Are The sine and cosine of acute angles equal?
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
What does cosine pair 80 degrees with and how do you get it?
sine 10. Use the cofunction with the complementary angle.
What is the cofunction identity of cos t?
The cofunction identity for cosine states that the cosine of an angle is equal to the sine of its complement. Specifically, this can be expressed as (\cos(t) = \sin\left(\frac{\pi}{2} - t\right)) in radians or (\cos(t) = \sin(90^\circ - t)) in degrees. This relationship highlights the complementary nature of the sine and cosine functions.
Which angle length does cosine give you?
Sides have lenght, angles do not. Cosine is the ratio of the adjacent side to the hypotenuse. Cosine can be used to find either of these sides if the other is known.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
